76427447660928 has 2304 divisors, whose sum is σ = 301025536704000. Its totient is φ = 18634869227520.

The previous prime is 76427447660891. The next prime is 76427447660929. The reversal of 76427447660928 is 82906674472467.

76427447660928 is a `hidden beast` number, since 7 + 6 + 4 + 2 + 7 + 4 + 4 + 7 + 6 + 609 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76427447660929) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 601790926401 + ... + 601790926527.

It is an arithmetic number, because the mean of its divisors is an integer number (130653444750).

Almost surely, 2^{76427447660928} is an apocalyptic number.

76427447660928 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76427447660928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150512768352000).

76427447660928 is an abundant number, since it is smaller than the sum of its proper divisors (224598089043072).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

76427447660928 is a wasteful number, since it uses less digits than its factorization.

76427447660928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 1365590016, while the sum is 72.

The spelling of 76427447660928 in words is "seventy-six trillion, four hundred twenty-seven billion, four hundred forty-seven million, six hundred sixty thousand, nine hundred twenty-eight".